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20288525 = 527311117
BaseRepresentation
bin100110101100…
…1010000001101
31102011202121212
41031121100031
520143213100
62002504205
7334310135
oct115312015
942152555
1020288525
11104a8084
126965065
13428485a
1429a1ac5
151bab635
hex135940d

20288525 has 12 divisors (see below), whose sum is σ = 25504692. Its totient is φ = 16007040.

The previous prime is 20288519. The next prime is 20288533. The reversal of 20288525 is 52588202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2157961 + 18130564 = 1469^2 + 4258^2 .

It is not a de Polignac number, because 20288525 - 24 = 20288509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20288491 and 20288500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3734 + ... + 7383.

It is an arithmetic number, because the mean of its divisors is an integer number (2125391).

Almost surely, 220288525 is an apocalyptic number.

20288525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20288525 is a deficient number, since it is larger than the sum of its proper divisors (5216167).

20288525 is a wasteful number, since it uses less digits than its factorization.

20288525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 20288525 is about 4504.2785215837. The cubic root of 20288525 is about 272.7408302183.

The spelling of 20288525 in words is "twenty million, two hundred eighty-eight thousand, five hundred twenty-five".

Divisors: 1 5 25 73 365 1825 11117 55585 277925 811541 4057705 20288525